12983280 has 80 divisors (see below), whose sum is σ = 41140224. Its totient is φ = 3385600.

The previous prime is 12983261. The next prime is 12983281. The reversal of 12983280 is 8238921.

12983280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12983281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10705 + ... + 11855.

Almost surely, 2^12983280 is an apocalyptic number.

12983280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12983280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20570112).

12983280 is an abundant number, since it is smaller than the sum of its proper divisors (28156944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12983280 is a wasteful number, since it uses less digits than its factorization.

12983280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 12983280 is about 3603.2318826298. The cubic root of 12983280 is about 235.0326195854.

The spelling of 12983280 in words is "twelve million, nine hundred eighty-three thousand, two hundred eighty".